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Elden [556K]
3 years ago
14

A carpenter has a board that is 8 feet long. He cuts off two pieces. One piece is 3 1/2 feet long and the other is 2 1/3 feet lo

ng. How much of the board is left?
Mathematics
1 answer:
Aneli [31]3 years ago
6 0
Add 3 1/2 and 2 1/3, 

Firstly, find the common denominator. It is is 6

3 3/6 + 2 2/6

this gets you 5 5/6.

Take this away from 8:

8 - 5 5/6 = 2 1/6

So 2 1/6 of the board is left over.
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John needs to make a scale drawing of his school building for art class. If the building is 256.25 meters long, and John scales
marshall27 [118]
<span>So we want to know how long will the scale drowing of the building be if the building is 265.25m long and the scale is 1 inch on the drawing is equal to 25 meters of the building. To find the answer lets scale the building. If the real length of the building is 256.25 meters, then the number of inches will be: 256.25/25=10.25 inches. </span>
4 0
3 years ago
Eliminate 3x+2y=4<br> 8x-3y=-6
laila [671]
Steps:
1. Multiply the first line by 3 and the second by 2
3(3x + 2y= 4)
2(8x -3y=-6)
2. New lines are
9x + 6y= 12
16x + -6y=-12
3. Now add/subtract them
25x + 0= 0
25x=0
4. Divide by 25
X=0

5. To find y, substitute the 0 in the x in one of the equations
9x + 6y= 12
9(0) + 6y= 12
6y= 12
6. Divide by 6, your Y=2
7. X=0, Y=2
7 0
3 years ago
How do you do that?????
Elden [556K]
This question is easy once you understand. So when adding, subtracting, multiplying, or dividing with whole numbers you turn it into a fraction. So 12 is going to become 12/1. 8 1/8 is a mixed number so we have to turn it into an incomplete fraction. Here is how you do it. Multiply the denominator by the who number. So 8 x 8 = 64. Then you add your product to the numerator, which will make it 65. Then after this you keep your denominator giving you 65/8. Now we have to find the common denominator by finding the LCM. So the LCM is 8. Next we divide the old denominator by the new denominator. So 1 goes into 8, 8 times. And next 8 x the numerator. so 8 x 12 = 96. We do the same to the other side. Now we have 96/8 - 65/8 = 31/8. Finally we make this a mixed number. So 31 divided by 8. So you should get 3 7/8. 

I hope this helps! :)
5 0
2 years ago
find two consecutive odd integers that 7 times the smaller integer is 61 more than 2 times the larger integer.
Aleks04 [339]

Answer:

x = 13     smaller integer

x + 2 = 15  the other integer

Step-by-step explanation:

x = the smaller integer

x + 2 = the next integer          

7(x) = 61 + 2(x + 2)

7x = 61 + 2x +4

5x = 61 + 4

5x  = 65

x = 13     smaller integer

x + 2 = 15  the other integer

8 0
2 years ago
54 as a product of primes
kvasek [131]
54 can be factored as follows:

54

2*27

2*3*9

2*3^2*3

2*3^3

Therefore, 54 is equal to 2*3^3, or 2*3*3*3.
6 0
2 years ago
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